Finding the Third Proportional to 78,488 and 118,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,488 : 118,468.50 = 118,468.50 : x
2. Step 2: Convert to fraction form
   78,488/118,468.50 = 118,468.50/x
3. Step 3: Cross multiply
   78,488x = 118,468.50 × 118,468.50
4. Step 4: Simplify right side
   78,488x = 14,034,785,492.25
5. Step 5: Solve for x
   x = 14,034,785,492.25/78,488
6. Step 6: Final answer
   x = 178,814.41